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Simplifying 15(2r + -0.3) + 0.5(4r + 3) = -64 Reorder the terms: 15(-0.3 + 2r) + 0.5(4r + 3) = -64 (-0.3 * 15 + 2r * 15) + 0.5(4r + 3) = -64 (-4.5 + 30r) + 0.5(4r + 3) = -64 Reorder the terms: -4.5 + 30r + 0.5(3 + 4r) = -64 -4.5 + 30r + (3 * 0.5 + 4r * 0.5) = -64 -4.5 + 30r + (1.5 + 2r) = -64 Reorder the terms: -4.5 + 1.5 + 30r + 2r = -64 Combine like terms: -4.5 + 1.5 = -3 -3 + 30r + 2r = -64 Combine like terms: 30r + 2r = 32r -3 + 32r = -64 Solving -3 + 32r = -64 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 32r = -64 + 3 Combine like terms: -3 + 3 = 0 0 + 32r = -64 + 3 32r = -64 + 3 Combine like terms: -64 + 3 = -61 32r = -61 Divide each side by '32'. r = -1.90625 Simplifying r = -1.90625
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