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Simplifying 4(r + -5) + -3r = -12 + 4 Reorder the terms: 4(-5 + r) + -3r = -12 + 4 (-5 * 4 + r * 4) + -3r = -12 + 4 (-20 + 4r) + -3r = -12 + 4 Combine like terms: 4r + -3r = 1r -20 + 1r = -12 + 4 Combine like terms: -12 + 4 = -8 -20 + 1r = -8 Solving -20 + 1r = -8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1r = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 1r = -8 + 20 1r = -8 + 20 Combine like terms: -8 + 20 = 12 1r = 12 Divide each side by '1'. r = 12 Simplifying r = 12
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