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Simplifying 5(6p + -3) + -2 = 2(15p + -11) + 5 Reorder the terms: 5(-3 + 6p) + -2 = 2(15p + -11) + 5 (-3 * 5 + 6p * 5) + -2 = 2(15p + -11) + 5 (-15 + 30p) + -2 = 2(15p + -11) + 5 Reorder the terms: -15 + -2 + 30p = 2(15p + -11) + 5 Combine like terms: -15 + -2 = -17 -17 + 30p = 2(15p + -11) + 5 Reorder the terms: -17 + 30p = 2(-11 + 15p) + 5 -17 + 30p = (-11 * 2 + 15p * 2) + 5 -17 + 30p = (-22 + 30p) + 5 Reorder the terms: -17 + 30p = -22 + 5 + 30p Combine like terms: -22 + 5 = -17 -17 + 30p = -17 + 30p Add '17' to each side of the equation. -17 + 17 + 30p = -17 + 17 + 30p Combine like terms: -17 + 17 = 0 0 + 30p = -17 + 17 + 30p 30p = -17 + 17 + 30p Combine like terms: -17 + 17 = 0 30p = 0 + 30p 30p = 30p Add '-30p' to each side of the equation. 30p + -30p = 30p + -30p Combine like terms: 30p + -30p = 0 0 = 30p + -30p Combine like terms: 30p + -30p = 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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