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Simplifying 1x + 58 + 10r = 2r + 10 + 8x Reorder the terms: 58 + 10r + 1x = 2r + 10 + 8x Reorder the terms: 58 + 10r + 1x = 10 + 2r + 8x Solving 58 + 10r + 1x = 10 + 2r + 8x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 58 + 10r + -2r + 1x = 10 + 2r + -2r + 8x Combine like terms: 10r + -2r = 8r 58 + 8r + 1x = 10 + 2r + -2r + 8x Combine like terms: 2r + -2r = 0 58 + 8r + 1x = 10 + 0 + 8x 58 + 8r + 1x = 10 + 8x Add '-58' to each side of the equation. 58 + 8r + -58 + 1x = 10 + -58 + 8x Reorder the terms: 58 + -58 + 8r + 1x = 10 + -58 + 8x Combine like terms: 58 + -58 = 0 0 + 8r + 1x = 10 + -58 + 8x 8r + 1x = 10 + -58 + 8x Combine like terms: 10 + -58 = -48 8r + 1x = -48 + 8x Add '-1x' to each side of the equation. 8r + 1x + -1x = -48 + 8x + -1x Combine like terms: 1x + -1x = 0 8r + 0 = -48 + 8x + -1x 8r = -48 + 8x + -1x Combine like terms: 8x + -1x = 7x 8r = -48 + 7x Divide each side by '8'. r = -6 + 0.875x Simplifying r = -6 + 0.875x
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