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Simplifying 4(r + -1) + 5r + 3 = 1r + -7 Reorder the terms: 4(-1 + r) + 5r + 3 = 1r + -7 (-1 * 4 + r * 4) + 5r + 3 = 1r + -7 (-4 + 4r) + 5r + 3 = 1r + -7 Reorder the terms: -4 + 3 + 4r + 5r = 1r + -7 Combine like terms: -4 + 3 = -1 -1 + 4r + 5r = 1r + -7 Combine like terms: 4r + 5r = 9r -1 + 9r = 1r + -7 Reorder the terms: -1 + 9r = -7 + 1r Solving -1 + 9r = -7 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -1 + 9r + -1r = -7 + 1r + -1r Combine like terms: 9r + -1r = 8r -1 + 8r = -7 + 1r + -1r Combine like terms: 1r + -1r = 0 -1 + 8r = -7 + 0 -1 + 8r = -7 Add '1' to each side of the equation. -1 + 1 + 8r = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 8r = -7 + 1 8r = -7 + 1 Combine like terms: -7 + 1 = -6 8r = -6 Divide each side by '8'. r = -0.75 Simplifying r = -0.75
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