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Simplifying 5(r + -8) + 1 = 6(r + 3) + -24 Reorder the terms: 5(-8 + r) + 1 = 6(r + 3) + -24 (-8 * 5 + r * 5) + 1 = 6(r + 3) + -24 (-40 + 5r) + 1 = 6(r + 3) + -24 Reorder the terms: -40 + 1 + 5r = 6(r + 3) + -24 Combine like terms: -40 + 1 = -39 -39 + 5r = 6(r + 3) + -24 Reorder the terms: -39 + 5r = 6(3 + r) + -24 -39 + 5r = (3 * 6 + r * 6) + -24 -39 + 5r = (18 + 6r) + -24 Reorder the terms: -39 + 5r = 18 + -24 + 6r Combine like terms: 18 + -24 = -6 -39 + 5r = -6 + 6r Solving -39 + 5r = -6 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -39 + 5r + -6r = -6 + 6r + -6r Combine like terms: 5r + -6r = -1r -39 + -1r = -6 + 6r + -6r Combine like terms: 6r + -6r = 0 -39 + -1r = -6 + 0 -39 + -1r = -6 Add '39' to each side of the equation. -39 + 39 + -1r = -6 + 39 Combine like terms: -39 + 39 = 0 0 + -1r = -6 + 39 -1r = -6 + 39 Combine like terms: -6 + 39 = 33 -1r = 33 Divide each side by '-1'. r = -33 Simplifying r = -33
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