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Simplifying -10 + -4(r + 10) = 4r + -58 Reorder the terms: -10 + -4(10 + r) = 4r + -58 -10 + (10 * -4 + r * -4) = 4r + -58 -10 + (-40 + -4r) = 4r + -58 Combine like terms: -10 + -40 = -50 -50 + -4r = 4r + -58 Reorder the terms: -50 + -4r = -58 + 4r Solving -50 + -4r = -58 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -50 + -4r + -4r = -58 + 4r + -4r Combine like terms: -4r + -4r = -8r -50 + -8r = -58 + 4r + -4r Combine like terms: 4r + -4r = 0 -50 + -8r = -58 + 0 -50 + -8r = -58 Add '50' to each side of the equation. -50 + 50 + -8r = -58 + 50 Combine like terms: -50 + 50 = 0 0 + -8r = -58 + 50 -8r = -58 + 50 Combine like terms: -58 + 50 = -8 -8r = -8 Divide each side by '-8'. r = 1 Simplifying r = 1
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