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Simplifying 4(3r + -2) = -3(r + 7) Reorder the terms: 4(-2 + 3r) = -3(r + 7) (-2 * 4 + 3r * 4) = -3(r + 7) (-8 + 12r) = -3(r + 7) Reorder the terms: -8 + 12r = -3(7 + r) -8 + 12r = (7 * -3 + r * -3) -8 + 12r = (-21 + -3r) Solving -8 + 12r = -21 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -8 + 12r + 3r = -21 + -3r + 3r Combine like terms: 12r + 3r = 15r -8 + 15r = -21 + -3r + 3r Combine like terms: -3r + 3r = 0 -8 + 15r = -21 + 0 -8 + 15r = -21 Add '8' to each side of the equation. -8 + 8 + 15r = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 15r = -21 + 8 15r = -21 + 8 Combine like terms: -21 + 8 = -13 15r = -13 Divide each side by '15'. r = -0.8666666667 Simplifying r = -0.8666666667
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