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Simplifying -7(r + 4) + -5r = -4(1 + 2r) Reorder the terms: -7(4 + r) + -5r = -4(1 + 2r) (4 * -7 + r * -7) + -5r = -4(1 + 2r) (-28 + -7r) + -5r = -4(1 + 2r) Combine like terms: -7r + -5r = -12r -28 + -12r = -4(1 + 2r) -28 + -12r = (1 * -4 + 2r * -4) -28 + -12r = (-4 + -8r) Solving -28 + -12r = -4 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -28 + -12r + 8r = -4 + -8r + 8r Combine like terms: -12r + 8r = -4r -28 + -4r = -4 + -8r + 8r Combine like terms: -8r + 8r = 0 -28 + -4r = -4 + 0 -28 + -4r = -4 Add '28' to each side of the equation. -28 + 28 + -4r = -4 + 28 Combine like terms: -28 + 28 = 0 0 + -4r = -4 + 28 -4r = -4 + 28 Combine like terms: -4 + 28 = 24 -4r = 24 Divide each side by '-4'. r = -6 Simplifying r = -6
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