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Simplifying 5 + 4(-2b + 2) = 19 + -7b Reorder the terms: 5 + 4(2 + -2b) = 19 + -7b 5 + (2 * 4 + -2b * 4) = 19 + -7b 5 + (8 + -8b) = 19 + -7b Combine like terms: 5 + 8 = 13 13 + -8b = 19 + -7b Solving 13 + -8b = 19 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 13 + -8b + 7b = 19 + -7b + 7b Combine like terms: -8b + 7b = -1b 13 + -1b = 19 + -7b + 7b Combine like terms: -7b + 7b = 0 13 + -1b = 19 + 0 13 + -1b = 19 Add '-13' to each side of the equation. 13 + -13 + -1b = 19 + -13 Combine like terms: 13 + -13 = 0 0 + -1b = 19 + -13 -1b = 19 + -13 Combine like terms: 19 + -13 = 6 -1b = 6 Divide each side by '-1'. b = -6 Simplifying b = -6
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