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Simplifying 0.6(-4r + 3) + 0.6r = 0 Reorder the terms: 0.6(3 + -4r) + 0.6r = 0 (3 * 0.6 + -4r * 0.6) + 0.6r = 0 (1.8 + -2.4r) + 0.6r = 0 Combine like terms: -2.4r + 0.6r = -1.8r 1.8 + -1.8r = 0 Solving 1.8 + -1.8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + -1.8r = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1.8r = 0 + -1.8 -1.8r = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -1.8r = -1.8 Divide each side by '-1.8'. r = 1 Simplifying r = 1
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