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Simplifying -5(2r + -0.3) + 0.5(4r + 3) = -21 Reorder the terms: -5(-0.3 + 2r) + 0.5(4r + 3) = -21 (-0.3 * -5 + 2r * -5) + 0.5(4r + 3) = -21 (1.5 + -10r) + 0.5(4r + 3) = -21 Reorder the terms: 1.5 + -10r + 0.5(3 + 4r) = -21 1.5 + -10r + (3 * 0.5 + 4r * 0.5) = -21 1.5 + -10r + (1.5 + 2r) = -21 Reorder the terms: 1.5 + 1.5 + -10r + 2r = -21 Combine like terms: 1.5 + 1.5 = 3 3 + -10r + 2r = -21 Combine like terms: -10r + 2r = -8r 3 + -8r = -21 Solving 3 + -8r = -21 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 + -8r = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -8r = -21 + -3 -8r = -21 + -3 Combine like terms: -21 + -3 = -24 -8r = -24 Divide each side by '-8'. r = 3 Simplifying r = 3
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