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Simplifying -32 + 3r = 7 + -4(7r + 2) Reorder the terms: -32 + 3r = 7 + -4(2 + 7r) -32 + 3r = 7 + (2 * -4 + 7r * -4) -32 + 3r = 7 + (-8 + -28r) Combine like terms: 7 + -8 = -1 -32 + 3r = -1 + -28r Solving -32 + 3r = -1 + -28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28r' to each side of the equation. -32 + 3r + 28r = -1 + -28r + 28r Combine like terms: 3r + 28r = 31r -32 + 31r = -1 + -28r + 28r Combine like terms: -28r + 28r = 0 -32 + 31r = -1 + 0 -32 + 31r = -1 Add '32' to each side of the equation. -32 + 32 + 31r = -1 + 32 Combine like terms: -32 + 32 = 0 0 + 31r = -1 + 32 31r = -1 + 32 Combine like terms: -1 + 32 = 31 31r = 31 Divide each side by '31'. r = 1 Simplifying r = 1
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