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Simplifying 17 + -3b + 19 = -8(-4b + 20) + -7b Reorder the terms: 17 + 19 + -3b = -8(-4b + 20) + -7b Combine like terms: 17 + 19 = 36 36 + -3b = -8(-4b + 20) + -7b Reorder the terms: 36 + -3b = -8(20 + -4b) + -7b 36 + -3b = (20 * -8 + -4b * -8) + -7b 36 + -3b = (-160 + 32b) + -7b Combine like terms: 32b + -7b = 25b 36 + -3b = -160 + 25b Solving 36 + -3b = -160 + 25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25b' to each side of the equation. 36 + -3b + -25b = -160 + 25b + -25b Combine like terms: -3b + -25b = -28b 36 + -28b = -160 + 25b + -25b Combine like terms: 25b + -25b = 0 36 + -28b = -160 + 0 36 + -28b = -160 Add '-36' to each side of the equation. 36 + -36 + -28b = -160 + -36 Combine like terms: 36 + -36 = 0 0 + -28b = -160 + -36 -28b = -160 + -36 Combine like terms: -160 + -36 = -196 -28b = -196 Divide each side by '-28'. b = 7 Simplifying b = 7
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