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Simplifying 8(2r + -3) + -1r = -6(3x + 5) Reorder the terms: 8(-3 + 2r) + -1r = -6(3x + 5) (-3 * 8 + 2r * 8) + -1r = -6(3x + 5) (-24 + 16r) + -1r = -6(3x + 5) Combine like terms: 16r + -1r = 15r -24 + 15r = -6(3x + 5) Reorder the terms: -24 + 15r = -6(5 + 3x) -24 + 15r = (5 * -6 + 3x * -6) -24 + 15r = (-30 + -18x) Solving -24 + 15r = -30 + -18x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 15r = -30 + 24 + -18x Combine like terms: -24 + 24 = 0 0 + 15r = -30 + 24 + -18x 15r = -30 + 24 + -18x Combine like terms: -30 + 24 = -6 15r = -6 + -18x Divide each side by '15'. r = -0.4 + -1.2x Simplifying r = -0.4 + -1.2x
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