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Simplifying 4[1 + -3(r + 2)] + 2r = 0 Reorder the terms: 4[1 + -3(2 + r)] + 2r = 0 4[1 + (2 * -3 + r * -3)] + 2r = 0 4[1 + (-6 + -3r)] + 2r = 0 Combine like terms: 1 + -6 = -5 4[-5 + -3r] + 2r = 0 [-5 * 4 + -3r * 4] + 2r = 0 [-20 + -12r] + 2r = 0 Combine like terms: -12r + 2r = -10r -20 + -10r = 0 Solving -20 + -10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -10r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -10r = 0 + 20 -10r = 0 + 20 Combine like terms: 0 + 20 = 20 -10r = 20 Divide each side by '-10'. r = -2 Simplifying r = -2
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