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Simplifying 3r + -1 = 7 + -1(r + 4) Reorder the terms: -1 + 3r = 7 + -1(r + 4) Reorder the terms: -1 + 3r = 7 + -1(4 + r) -1 + 3r = 7 + (4 * -1 + r * -1) -1 + 3r = 7 + (-4 + -1r) Combine like terms: 7 + -4 = 3 -1 + 3r = 3 + -1r Solving -1 + 3r = 3 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -1 + 3r + r = 3 + -1r + r Combine like terms: 3r + r = 4r -1 + 4r = 3 + -1r + r Combine like terms: -1r + r = 0 -1 + 4r = 3 + 0 -1 + 4r = 3 Add '1' to each side of the equation. -1 + 1 + 4r = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4r = 3 + 1 4r = 3 + 1 Combine like terms: 3 + 1 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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