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Simplifying 4(2r + -3) + r = 2(r + -3) Reorder the terms: 4(-3 + 2r) + r = 2(r + -3) (-3 * 4 + 2r * 4) + r = 2(r + -3) (-12 + 8r) + r = 2(r + -3) Combine like terms: 8r + r = 9r -12 + 9r = 2(r + -3) Reorder the terms: -12 + 9r = 2(-3 + r) -12 + 9r = (-3 * 2 + r * 2) -12 + 9r = (-6 + 2r) Solving -12 + 9r = -6 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -12 + 9r + -2r = -6 + 2r + -2r Combine like terms: 9r + -2r = 7r -12 + 7r = -6 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 7r = -6 + 0 -12 + 7r = -6 Add '12' to each side of the equation. -12 + 12 + 7r = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 7r = -6 + 12 7r = -6 + 12 Combine like terms: -6 + 12 = 6 7r = 6 Divide each side by '7'. r = 0.8571428571 Simplifying r = 0.8571428571
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