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Simplifying -8(3r + 5) + 4 = -6(3r + 3) Reorder the terms: -8(5 + 3r) + 4 = -6(3r + 3) (5 * -8 + 3r * -8) + 4 = -6(3r + 3) (-40 + -24r) + 4 = -6(3r + 3) Reorder the terms: -40 + 4 + -24r = -6(3r + 3) Combine like terms: -40 + 4 = -36 -36 + -24r = -6(3r + 3) Reorder the terms: -36 + -24r = -6(3 + 3r) -36 + -24r = (3 * -6 + 3r * -6) -36 + -24r = (-18 + -18r) Solving -36 + -24r = -18 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. -36 + -24r + 18r = -18 + -18r + 18r Combine like terms: -24r + 18r = -6r -36 + -6r = -18 + -18r + 18r Combine like terms: -18r + 18r = 0 -36 + -6r = -18 + 0 -36 + -6r = -18 Add '36' to each side of the equation. -36 + 36 + -6r = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -6r = -18 + 36 -6r = -18 + 36 Combine like terms: -18 + 36 = 18 -6r = 18 Divide each side by '-6'. r = -3 Simplifying r = -3
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