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Simplifying -17 = 8(r + -3) + 7(1 + 6r) Reorder the terms: -17 = 8(-3 + r) + 7(1 + 6r) -17 = (-3 * 8 + r * 8) + 7(1 + 6r) -17 = (-24 + 8r) + 7(1 + 6r) -17 = -24 + 8r + (1 * 7 + 6r * 7) -17 = -24 + 8r + (7 + 42r) Reorder the terms: -17 = -24 + 7 + 8r + 42r Combine like terms: -24 + 7 = -17 -17 = -17 + 8r + 42r Combine like terms: 8r + 42r = 50r -17 = -17 + 50r Add '17' to each side of the equation. -17 + 17 = -17 + 17 + 50r Combine like terms: -17 + 17 = 0 0 = -17 + 17 + 50r Combine like terms: -17 + 17 = 0 0 = 0 + 50r 0 = 50r Solving 0 = 50r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-50r' to each side of the equation. 0 + -50r = 50r + -50r Remove the zero: -50r = 50r + -50r Combine like terms: 50r + -50r = 0 -50r = 0 Divide each side by '-50'. r = 0 Simplifying r = 0
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