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Simplifying 8(-1.3r + 3.6) + -1.9r = -6.3(r + -6.4) + 6 Reorder the terms: 8(3.6 + -1.3r) + -1.9r = -6.3(r + -6.4) + 6 (3.6 * 8 + -1.3r * 8) + -1.9r = -6.3(r + -6.4) + 6 (28.8 + -10.4r) + -1.9r = -6.3(r + -6.4) + 6 Combine like terms: -10.4r + -1.9r = -12.3r 28.8 + -12.3r = -6.3(r + -6.4) + 6 Reorder the terms: 28.8 + -12.3r = -6.3(-6.4 + r) + 6 28.8 + -12.3r = (-6.4 * -6.3 + r * -6.3) + 6 28.8 + -12.3r = (40.32 + -6.3r) + 6 Reorder the terms: 28.8 + -12.3r = 40.32 + 6 + -6.3r Combine like terms: 40.32 + 6 = 46.32 28.8 + -12.3r = 46.32 + -6.3r Solving 28.8 + -12.3r = 46.32 + -6.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6.3r' to each side of the equation. 28.8 + -12.3r + 6.3r = 46.32 + -6.3r + 6.3r Combine like terms: -12.3r + 6.3r = -6r 28.8 + -6r = 46.32 + -6.3r + 6.3r Combine like terms: -6.3r + 6.3r = 0.0 28.8 + -6r = 46.32 + 0.0 28.8 + -6r = 46.32 Add '-28.8' to each side of the equation. 28.8 + -28.8 + -6r = 46.32 + -28.8 Combine like terms: 28.8 + -28.8 = 0.0 0.0 + -6r = 46.32 + -28.8 -6r = 46.32 + -28.8 Combine like terms: 46.32 + -28.8 = 17.52 -6r = 17.52 Divide each side by '-6'. r = -2.92 Simplifying r = -2.92
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