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Simplifying -42 = 6(-9 + r) -42 = (-9 * 6 + r * 6) -42 = (-54 + 6r) Solving -42 = -54 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -42 + -6r = -54 + 6r + -6r Combine like terms: 6r + -6r = 0 -42 + -6r = -54 + 0 -42 + -6r = -54 Add '42' to each side of the equation. -42 + 42 + -6r = -54 + 42 Combine like terms: -42 + 42 = 0 0 + -6r = -54 + 42 -6r = -54 + 42 Combine like terms: -54 + 42 = -12 -6r = -12 Divide each side by '-6'. r = 2 Simplifying r = 2
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