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Simplifying -2(p + -4) + -11 + 9(p + 10) + -8 = 18 + 5(2p + 11) + -1(3p + -6) Reorder the terms: -2(-4 + p) + -11 + 9(p + 10) + -8 = 18 + 5(2p + 11) + -1(3p + -6) (-4 * -2 + p * -2) + -11 + 9(p + 10) + -8 = 18 + 5(2p + 11) + -1(3p + -6) (8 + -2p) + -11 + 9(p + 10) + -8 = 18 + 5(2p + 11) + -1(3p + -6) Reorder the terms: 8 + -2p + -11 + 9(10 + p) + -8 = 18 + 5(2p + 11) + -1(3p + -6) 8 + -2p + -11 + (10 * 9 + p * 9) + -8 = 18 + 5(2p + 11) + -1(3p + -6) 8 + -2p + -11 + (90 + 9p) + -8 = 18 + 5(2p + 11) + -1(3p + -6) Reorder the terms: 8 + -11 + 90 + -8 + -2p + 9p = 18 + 5(2p + 11) + -1(3p + -6) Combine like terms: 8 + -11 = -3 -3 + 90 + -8 + -2p + 9p = 18 + 5(2p + 11) + -1(3p + -6) Combine like terms: -3 + 90 = 87 87 + -8 + -2p + 9p = 18 + 5(2p + 11) + -1(3p + -6) Combine like terms: 87 + -8 = 79 79 + -2p + 9p = 18 + 5(2p + 11) + -1(3p + -6) Combine like terms: -2p + 9p = 7p 79 + 7p = 18 + 5(2p + 11) + -1(3p + -6) Reorder the terms: 79 + 7p = 18 + 5(11 + 2p) + -1(3p + -6) 79 + 7p = 18 + (11 * 5 + 2p * 5) + -1(3p + -6) 79 + 7p = 18 + (55 + 10p) + -1(3p + -6) Reorder the terms: 79 + 7p = 18 + 55 + 10p + -1(-6 + 3p) 79 + 7p = 18 + 55 + 10p + (-6 * -1 + 3p * -1) 79 + 7p = 18 + 55 + 10p + (6 + -3p) Reorder the terms: 79 + 7p = 18 + 55 + 6 + 10p + -3p Combine like terms: 18 + 55 = 73 79 + 7p = 73 + 6 + 10p + -3p Combine like terms: 73 + 6 = 79 79 + 7p = 79 + 10p + -3p Combine like terms: 10p + -3p = 7p 79 + 7p = 79 + 7p Add '-79' to each side of the equation. 79 + -79 + 7p = 79 + -79 + 7p Combine like terms: 79 + -79 = 0 0 + 7p = 79 + -79 + 7p 7p = 79 + -79 + 7p Combine like terms: 79 + -79 = 0 7p = 0 + 7p 7p = 7p Add '-7p' to each side of the equation. 7p + -7p = 7p + -7p Combine like terms: 7p + -7p = 0 0 = 7p + -7p Combine like terms: 7p + -7p = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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