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Simplifying 5(k + b) + -5(6k + 7) = 70 Reorder the terms: 5(b + k) + -5(6k + 7) = 70 (b * 5 + k * 5) + -5(6k + 7) = 70 (5b + 5k) + -5(6k + 7) = 70 Reorder the terms: 5b + 5k + -5(7 + 6k) = 70 5b + 5k + (7 * -5 + 6k * -5) = 70 5b + 5k + (-35 + -30k) = 70 Reorder the terms: -35 + 5b + 5k + -30k = 70 Combine like terms: 5k + -30k = -25k -35 + 5b + -25k = 70 Solving -35 + 5b + -25k = 70 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 5b + 35 + -25k = 70 + 35 Reorder the terms: -35 + 35 + 5b + -25k = 70 + 35 Combine like terms: -35 + 35 = 0 0 + 5b + -25k = 70 + 35 5b + -25k = 70 + 35 Combine like terms: 70 + 35 = 105 5b + -25k = 105 Add '25k' to each side of the equation. 5b + -25k + 25k = 105 + 25k Combine like terms: -25k + 25k = 0 5b + 0 = 105 + 25k 5b = 105 + 25k Divide each side by '5'. b = 21 + 5k Simplifying b = 21 + 5k
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