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Simplifying 4r + -7 = -7(4r * 1) Reorder the terms: -7 + 4r = -7(4r * 1) Reorder the terms for easier multiplication: -7 + 4r = -7(4 * 1r) Multiply 4 * 1 -7 + 4r = -7(4r) Remove parenthesis around (4r) -7 + 4r = -7 * 4r Multiply -7 * 4 -7 + 4r = -28r Solving -7 + 4r = -28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28r' to each side of the equation. -7 + 4r + 28r = -28r + 28r Combine like terms: 4r + 28r = 32r -7 + 32r = -28r + 28r Combine like terms: -28r + 28r = 0 -7 + 32r = 0 Add '7' to each side of the equation. -7 + 7 + 32r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 32r = 0 + 7 32r = 0 + 7 Combine like terms: 0 + 7 = 7 32r = 7 Divide each side by '32'. r = 0.21875 Simplifying r = 0.21875
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