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Simplifying -6r + -32 = -7(r + 4) Reorder the terms: -32 + -6r = -7(r + 4) Reorder the terms: -32 + -6r = -7(4 + r) -32 + -6r = (4 * -7 + r * -7) -32 + -6r = (-28 + -7r) Solving -32 + -6r = -28 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -32 + -6r + 7r = -28 + -7r + 7r Combine like terms: -6r + 7r = 1r -32 + 1r = -28 + -7r + 7r Combine like terms: -7r + 7r = 0 -32 + 1r = -28 + 0 -32 + 1r = -28 Add '32' to each side of the equation. -32 + 32 + 1r = -28 + 32 Combine like terms: -32 + 32 = 0 0 + 1r = -28 + 32 1r = -28 + 32 Combine like terms: -28 + 32 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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