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Simplifying 4r + -32 = -6(r + 2) Reorder the terms: -32 + 4r = -6(r + 2) Reorder the terms: -32 + 4r = -6(2 + r) -32 + 4r = (2 * -6 + r * -6) -32 + 4r = (-12 + -6r) Solving -32 + 4r = -12 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -32 + 4r + 6r = -12 + -6r + 6r Combine like terms: 4r + 6r = 10r -32 + 10r = -12 + -6r + 6r Combine like terms: -6r + 6r = 0 -32 + 10r = -12 + 0 -32 + 10r = -12 Add '32' to each side of the equation. -32 + 32 + 10r = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 10r = -12 + 32 10r = -12 + 32 Combine like terms: -12 + 32 = 20 10r = 20 Divide each side by '10'. r = 2 Simplifying r = 2
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