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Simplifying -7(4r + 2) = 5(2r + 1) Reorder the terms: -7(2 + 4r) = 5(2r + 1) (2 * -7 + 4r * -7) = 5(2r + 1) (-14 + -28r) = 5(2r + 1) Reorder the terms: -14 + -28r = 5(1 + 2r) -14 + -28r = (1 * 5 + 2r * 5) -14 + -28r = (5 + 10r) Solving -14 + -28r = 5 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -14 + -28r + -10r = 5 + 10r + -10r Combine like terms: -28r + -10r = -38r -14 + -38r = 5 + 10r + -10r Combine like terms: 10r + -10r = 0 -14 + -38r = 5 + 0 -14 + -38r = 5 Add '14' to each side of the equation. -14 + 14 + -38r = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -38r = 5 + 14 -38r = 5 + 14 Combine like terms: 5 + 14 = 19 -38r = 19 Divide each side by '-38'. r = -0.5 Simplifying r = -0.5
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