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Simplifying -32 = -6(-7 + 5) + -2(6r + 1) Combine like terms: -7 + 5 = -2 -32 = -6(-2) + -2(6r + 1) Multiply -6 * -2 -32 = 12 + -2(6r + 1) Reorder the terms: -32 = 12 + -2(1 + 6r) -32 = 12 + (1 * -2 + 6r * -2) -32 = 12 + (-2 + -12r) Combine like terms: 12 + -2 = 10 -32 = 10 + -12r Solving -32 = 10 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -32 + 12r = 10 + -12r + 12r Combine like terms: -12r + 12r = 0 -32 + 12r = 10 + 0 -32 + 12r = 10 Add '32' to each side of the equation. -32 + 32 + 12r = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 12r = 10 + 32 12r = 10 + 32 Combine like terms: 10 + 32 = 42 12r = 42 Divide each side by '12'. r = 3.5 Simplifying r = 3.5
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