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Simplifying -103 = 8(r + -4) + -7 Reorder the terms: -103 = 8(-4 + r) + -7 -103 = (-4 * 8 + r * 8) + -7 -103 = (-32 + 8r) + -7 Reorder the terms: -103 = -32 + -7 + 8r Combine like terms: -32 + -7 = -39 -103 = -39 + 8r Solving -103 = -39 + 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. -103 + -8r = -39 + 8r + -8r Combine like terms: 8r + -8r = 0 -103 + -8r = -39 + 0 -103 + -8r = -39 Add '103' to each side of the equation. -103 + 103 + -8r = -39 + 103 Combine like terms: -103 + 103 = 0 0 + -8r = -39 + 103 -8r = -39 + 103 Combine like terms: -39 + 103 = 64 -8r = 64 Divide each side by '-8'. r = -8 Simplifying r = -8
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