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Simplifying 7(2r + -3s) = 8(3r + -2s) (2r * 7 + -3s * 7) = 8(3r + -2s) (14r + -21s) = 8(3r + -2s) 14r + -21s = (3r * 8 + -2s * 8) 14r + -21s = (24r + -16s) Solving 14r + -21s = 24r + -16s Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 14r + -24r + -21s = 24r + -24r + -16s Combine like terms: 14r + -24r = -10r -10r + -21s = 24r + -24r + -16s Combine like terms: 24r + -24r = 0 -10r + -21s = 0 + -16s -10r + -21s = -16s Add '21s' to each side of the equation. -10r + -21s + 21s = -16s + 21s Combine like terms: -21s + 21s = 0 -10r + 0 = -16s + 21s -10r = -16s + 21s Combine like terms: -16s + 21s = 5s -10r = 5s Divide each side by '-10'. r = -0.5s Simplifying r = -0.5s
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