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Simplifying 0.33(6r + -12) = 4(0.50r + 1) Reorder the terms: 0.33(-12 + 6r) = 4(0.50r + 1) (-12 * 0.33 + 6r * 0.33) = 4(0.50r + 1) (-3.96 + 1.98r) = 4(0.50r + 1) Reorder the terms: -3.96 + 1.98r = 4(1 + 0.50r) -3.96 + 1.98r = (1 * 4 + 0.50r * 4) -3.96 + 1.98r = (4 + 2r) Solving -3.96 + 1.98r = 4 + 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. -3.96 + 1.98r + -2r = 4 + 2r + -2r Combine like terms: 1.98r + -2r = -0.02r -3.96 + -0.02r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 -3.96 + -0.02r = 4 + 0 -3.96 + -0.02r = 4 Add '3.96' to each side of the equation. -3.96 + 3.96 + -0.02r = 4 + 3.96 Combine like terms: -3.96 + 3.96 = 0.00 0.00 + -0.02r = 4 + 3.96 -0.02r = 4 + 3.96 Combine like terms: 4 + 3.96 = 7.96 -0.02r = 7.96 Divide each side by '-0.02'. r = -398 Simplifying r = -398
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