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Simplifying 2(r + -4) = 5(rt + -7) Reorder the terms: 2(-4 + r) = 5(rt + -7) (-4 * 2 + r * 2) = 5(rt + -7) (-8 + 2r) = 5(rt + -7) Reorder the terms: -8 + 2r = 5(-7 + rt) -8 + 2r = (-7 * 5 + rt * 5) -8 + 2r = (-35 + 5rt) Solving -8 + 2r = -35 + 5rt Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5rt' to each side of the equation. -8 + 2r + -5rt = -35 + 5rt + -5rt Combine like terms: 5rt + -5rt = 0 -8 + 2r + -5rt = -35 + 0 -8 + 2r + -5rt = -35 Add '8' to each side of the equation. -8 + 2r + 8 + -5rt = -35 + 8 Reorder the terms: -8 + 8 + 2r + -5rt = -35 + 8 Combine like terms: -8 + 8 = 0 0 + 2r + -5rt = -35 + 8 2r + -5rt = -35 + 8 Combine like terms: -35 + 8 = -27 2r + -5rt = -27 Reorder the terms: 27 + 2r + -5rt = -27 + 27 Combine like terms: -27 + 27 = 0 27 + 2r + -5rt = 0 The solution to this equation could not be determined.
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