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Simplifying -3(1 + 5r) + -5 = -1(6r + -1) (1 * -3 + 5r * -3) + -5 = -1(6r + -1) (-3 + -15r) + -5 = -1(6r + -1) Reorder the terms: -3 + -5 + -15r = -1(6r + -1) Combine like terms: -3 + -5 = -8 -8 + -15r = -1(6r + -1) Reorder the terms: -8 + -15r = -1(-1 + 6r) -8 + -15r = (-1 * -1 + 6r * -1) -8 + -15r = (1 + -6r) Solving -8 + -15r = 1 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -8 + -15r + 6r = 1 + -6r + 6r Combine like terms: -15r + 6r = -9r -8 + -9r = 1 + -6r + 6r Combine like terms: -6r + 6r = 0 -8 + -9r = 1 + 0 -8 + -9r = 1 Add '8' to each side of the equation. -8 + 8 + -9r = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -9r = 1 + 8 -9r = 1 + 8 Combine like terms: 1 + 8 = 9 -9r = 9 Divide each side by '-9'. r = -1 Simplifying r = -1
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