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Simplifying 3r + -7r = 4(3r + 6) + -8(1 + r) Combine like terms: 3r + -7r = -4r -4r = 4(3r + 6) + -8(1 + r) Reorder the terms: -4r = 4(6 + 3r) + -8(1 + r) -4r = (6 * 4 + 3r * 4) + -8(1 + r) -4r = (24 + 12r) + -8(1 + r) -4r = 24 + 12r + (1 * -8 + r * -8) -4r = 24 + 12r + (-8 + -8r) Reorder the terms: -4r = 24 + -8 + 12r + -8r Combine like terms: 24 + -8 = 16 -4r = 16 + 12r + -8r Combine like terms: 12r + -8r = 4r -4r = 16 + 4r Solving -4r = 16 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -4r + -4r = 16 + 4r + -4r Combine like terms: -4r + -4r = -8r -8r = 16 + 4r + -4r Combine like terms: 4r + -4r = 0 -8r = 16 + 0 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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