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Simplifying 6(-7 + 7r) = -4r + 8(1 + 12r) (-7 * 6 + 7r * 6) = -4r + 8(1 + 12r) (-42 + 42r) = -4r + 8(1 + 12r) -42 + 42r = -4r + (1 * 8 + 12r * 8) -42 + 42r = -4r + (8 + 96r) Reorder the terms: -42 + 42r = 8 + -4r + 96r Combine like terms: -4r + 96r = 92r -42 + 42r = 8 + 92r Solving -42 + 42r = 8 + 92r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-92r' to each side of the equation. -42 + 42r + -92r = 8 + 92r + -92r Combine like terms: 42r + -92r = -50r -42 + -50r = 8 + 92r + -92r Combine like terms: 92r + -92r = 0 -42 + -50r = 8 + 0 -42 + -50r = 8 Add '42' to each side of the equation. -42 + 42 + -50r = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -50r = 8 + 42 -50r = 8 + 42 Combine like terms: 8 + 42 = 50 -50r = 50 Divide each side by '-50'. r = -1 Simplifying r = -1
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