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Simplifying -192 = -7(6 + -6r) + 8r -192 = (6 * -7 + -6r * -7) + 8r -192 = (-42 + 42r) + 8r Combine like terms: 42r + 8r = 50r -192 = -42 + 50r Solving -192 = -42 + 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. -192 + -50r = -42 + 50r + -50r Combine like terms: 50r + -50r = 0 -192 + -50r = -42 + 0 -192 + -50r = -42 Add '192' to each side of the equation. -192 + 192 + -50r = -42 + 192 Combine like terms: -192 + 192 = 0 0 + -50r = -42 + 192 -50r = -42 + 192 Combine like terms: -42 + 192 = 150 -50r = 150 Divide each side by '-50'. r = -3 Simplifying r = -3
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