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Simplifying -7r + -10r = -4(8r + -3) + 6(r + 1) Combine like terms: -7r + -10r = -17r -17r = -4(8r + -3) + 6(r + 1) Reorder the terms: -17r = -4(-3 + 8r) + 6(r + 1) -17r = (-3 * -4 + 8r * -4) + 6(r + 1) -17r = (12 + -32r) + 6(r + 1) Reorder the terms: -17r = 12 + -32r + 6(1 + r) -17r = 12 + -32r + (1 * 6 + r * 6) -17r = 12 + -32r + (6 + 6r) Reorder the terms: -17r = 12 + 6 + -32r + 6r Combine like terms: 12 + 6 = 18 -17r = 18 + -32r + 6r Combine like terms: -32r + 6r = -26r -17r = 18 + -26r Solving -17r = 18 + -26r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '26r' to each side of the equation. -17r + 26r = 18 + -26r + 26r Combine like terms: -17r + 26r = 9r 9r = 18 + -26r + 26r Combine like terms: -26r + 26r = 0 9r = 18 + 0 9r = 18 Divide each side by '9'. r = 2 Simplifying r = 2
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