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Simplifying 5(2r + 6) = 4(5r + -10) Reorder the terms: 5(6 + 2r) = 4(5r + -10) (6 * 5 + 2r * 5) = 4(5r + -10) (30 + 10r) = 4(5r + -10) Reorder the terms: 30 + 10r = 4(-10 + 5r) 30 + 10r = (-10 * 4 + 5r * 4) 30 + 10r = (-40 + 20r) Solving 30 + 10r = -40 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 30 + 10r + -20r = -40 + 20r + -20r Combine like terms: 10r + -20r = -10r 30 + -10r = -40 + 20r + -20r Combine like terms: 20r + -20r = 0 30 + -10r = -40 + 0 30 + -10r = -40 Add '-30' to each side of the equation. 30 + -30 + -10r = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -10r = -40 + -30 -10r = -40 + -30 Combine like terms: -40 + -30 = -70 -10r = -70 Divide each side by '-10'. r = 7 Simplifying r = 7
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