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Simplifying 3(r + -3) + -7 = -5 + -1(2r + 1) Reorder the terms: 3(-3 + r) + -7 = -5 + -1(2r + 1) (-3 * 3 + r * 3) + -7 = -5 + -1(2r + 1) (-9 + 3r) + -7 = -5 + -1(2r + 1) Reorder the terms: -9 + -7 + 3r = -5 + -1(2r + 1) Combine like terms: -9 + -7 = -16 -16 + 3r = -5 + -1(2r + 1) Reorder the terms: -16 + 3r = -5 + -1(1 + 2r) -16 + 3r = -5 + (1 * -1 + 2r * -1) -16 + 3r = -5 + (-1 + -2r) Combine like terms: -5 + -1 = -6 -16 + 3r = -6 + -2r Solving -16 + 3r = -6 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -16 + 3r + 2r = -6 + -2r + 2r Combine like terms: 3r + 2r = 5r -16 + 5r = -6 + -2r + 2r Combine like terms: -2r + 2r = 0 -16 + 5r = -6 + 0 -16 + 5r = -6 Add '16' to each side of the equation. -16 + 16 + 5r = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 5r = -6 + 16 5r = -6 + 16 Combine like terms: -6 + 16 = 10 5r = 10 Divide each side by '5'. r = 2 Simplifying r = 2
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