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Simplifying 3(r + -4) = 7(r + -5) + 4 Reorder the terms: 3(-4 + r) = 7(r + -5) + 4 (-4 * 3 + r * 3) = 7(r + -5) + 4 (-12 + 3r) = 7(r + -5) + 4 Reorder the terms: -12 + 3r = 7(-5 + r) + 4 -12 + 3r = (-5 * 7 + r * 7) + 4 -12 + 3r = (-35 + 7r) + 4 Reorder the terms: -12 + 3r = -35 + 4 + 7r Combine like terms: -35 + 4 = -31 -12 + 3r = -31 + 7r Solving -12 + 3r = -31 + 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. -12 + 3r + -7r = -31 + 7r + -7r Combine like terms: 3r + -7r = -4r -12 + -4r = -31 + 7r + -7r Combine like terms: 7r + -7r = 0 -12 + -4r = -31 + 0 -12 + -4r = -31 Add '12' to each side of the equation. -12 + 12 + -4r = -31 + 12 Combine like terms: -12 + 12 = 0 0 + -4r = -31 + 12 -4r = -31 + 12 Combine like terms: -31 + 12 = -19 -4r = -19 Divide each side by '-4'. r = 4.75 Simplifying r = 4.75
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