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Simplifying 7(1.2b + -3) + (-1.4b + 2) = -12b + 38 Reorder the terms: 7(-3 + 1.2b) + (-1.4b + 2) = -12b + 38 (-3 * 7 + 1.2b * 7) + (-1.4b + 2) = -12b + 38 (-21 + 8.4b) + (-1.4b + 2) = -12b + 38 Reorder the terms: -21 + 8.4b + (2 + -1.4b) = -12b + 38 Remove parenthesis around (2 + -1.4b) -21 + 8.4b + 2 + -1.4b = -12b + 38 Reorder the terms: -21 + 2 + 8.4b + -1.4b = -12b + 38 Combine like terms: -21 + 2 = -19 -19 + 8.4b + -1.4b = -12b + 38 Combine like terms: 8.4b + -1.4b = 7b -19 + 7b = -12b + 38 Reorder the terms: -19 + 7b = 38 + -12b Solving -19 + 7b = 38 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -19 + 7b + 12b = 38 + -12b + 12b Combine like terms: 7b + 12b = 19b -19 + 19b = 38 + -12b + 12b Combine like terms: -12b + 12b = 0 -19 + 19b = 38 + 0 -19 + 19b = 38 Add '19' to each side of the equation. -19 + 19 + 19b = 38 + 19 Combine like terms: -19 + 19 = 0 0 + 19b = 38 + 19 19b = 38 + 19 Combine like terms: 38 + 19 = 57 19b = 57 Divide each side by '19'. b = 3 Simplifying b = 3
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