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Simplifying -87 = 1 + 8(r + -3) Reorder the terms: -87 = 1 + 8(-3 + r) -87 = 1 + (-3 * 8 + r * 8) -87 = 1 + (-24 + 8r) Combine like terms: 1 + -24 = -23 -87 = -23 + 8r Solving -87 = -23 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -87 + -8r = -23 + 8r + -8r Combine like terms: 8r + -8r = 0 -87 + -8r = -23 + 0 -87 + -8r = -23 Add '87' to each side of the equation. -87 + 87 + -8r = -23 + 87 Combine like terms: -87 + 87 = 0 0 + -8r = -23 + 87 -8r = -23 + 87 Combine like terms: -23 + 87 = 64 -8r = 64 Divide each side by '-8'. r = -8 Simplifying r = -8
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