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Simplifying 8(2r + -3) + -1r = 4(3b + -7) Reorder the terms: 8(-3 + 2r) + -1r = 4(3b + -7) (-3 * 8 + 2r * 8) + -1r = 4(3b + -7) (-24 + 16r) + -1r = 4(3b + -7) Combine like terms: 16r + -1r = 15r -24 + 15r = 4(3b + -7) Reorder the terms: -24 + 15r = 4(-7 + 3b) -24 + 15r = (-7 * 4 + 3b * 4) -24 + 15r = (-28 + 12b) Solving -24 + 15r = -28 + 12b 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 = -28 + 24 + 12b Combine like terms: -24 + 24 = 0 0 + 15r = -28 + 24 + 12b 15r = -28 + 24 + 12b Combine like terms: -28 + 24 = -4 15r = -4 + 12b Divide each side by '15'. r = -0.2666666667 + 0.8b Simplifying r = -0.2666666667 + 0.8b
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