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Simplifying 32 + 6r = 7(8r + -4) Reorder the terms: 32 + 6r = 7(-4 + 8r) 32 + 6r = (-4 * 7 + 8r * 7) 32 + 6r = (-28 + 56r) Solving 32 + 6r = -28 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. 32 + 6r + -56r = -28 + 56r + -56r Combine like terms: 6r + -56r = -50r 32 + -50r = -28 + 56r + -56r Combine like terms: 56r + -56r = 0 32 + -50r = -28 + 0 32 + -50r = -28 Add '-32' to each side of the equation. 32 + -32 + -50r = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -50r = -28 + -32 -50r = -28 + -32 Combine like terms: -28 + -32 = -60 -50r = -60 Divide each side by '-50'. r = 1.2 Simplifying r = 1.2
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