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Simplifying -1r + 9(r + -5) + 4(3r + 4) = r + -5 Reorder the terms: -1r + 9(-5 + r) + 4(3r + 4) = r + -5 -1r + (-5 * 9 + r * 9) + 4(3r + 4) = r + -5 -1r + (-45 + 9r) + 4(3r + 4) = r + -5 Reorder the terms: -1r + -45 + 9r + 4(4 + 3r) = r + -5 -1r + -45 + 9r + (4 * 4 + 3r * 4) = r + -5 -1r + -45 + 9r + (16 + 12r) = r + -5 Reorder the terms: -45 + 16 + -1r + 9r + 12r = r + -5 Combine like terms: -45 + 16 = -29 -29 + -1r + 9r + 12r = r + -5 Combine like terms: -1r + 9r = 8r -29 + 8r + 12r = r + -5 Combine like terms: 8r + 12r = 20r -29 + 20r = r + -5 Reorder the terms: -29 + 20r = -5 + r Solving -29 + 20r = -5 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -29 + 20r + -1r = -5 + r + -1r Combine like terms: 20r + -1r = 19r -29 + 19r = -5 + r + -1r Combine like terms: r + -1r = 0 -29 + 19r = -5 + 0 -29 + 19r = -5 Add '29' to each side of the equation. -29 + 29 + 19r = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 19r = -5 + 29 19r = -5 + 29 Combine like terms: -5 + 29 = 24 19r = 24 Divide each side by '19'. r = 1.263157895 Simplifying r = 1.263157895
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