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Simplifying 4r + -1(r + 6) = 12 + -36 Reorder the terms: 4r + -1(6 + r) = 12 + -36 4r + (6 * -1 + r * -1) = 12 + -36 4r + (-6 + -1r) = 12 + -36 Reorder the terms: -6 + 4r + -1r = 12 + -36 Combine like terms: 4r + -1r = 3r -6 + 3r = 12 + -36 Combine like terms: 12 + -36 = -24 -6 + 3r = -24 Solving -6 + 3r = -24 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3r = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 3r = -24 + 6 3r = -24 + 6 Combine like terms: -24 + 6 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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