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Simplifying -10 + r = -7(6 + r) -10 + r = (6 * -7 + r * -7) -10 + r = (-42 + -7r) Solving -10 + r = -42 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -10 + r + 7r = -42 + -7r + 7r Combine like terms: r + 7r = 8r -10 + 8r = -42 + -7r + 7r Combine like terms: -7r + 7r = 0 -10 + 8r = -42 + 0 -10 + 8r = -42 Add '10' to each side of the equation. -10 + 10 + 8r = -42 + 10 Combine like terms: -10 + 10 = 0 0 + 8r = -42 + 10 8r = -42 + 10 Combine like terms: -42 + 10 = -32 8r = -32 Divide each side by '8'. r = -4 Simplifying r = -4
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