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Simplifying 370 = -6(1 + -8a) + -1a 370 = (1 * -6 + -8a * -6) + -1a 370 = (-6 + 48a) + -1a Combine like terms: 48a + -1a = 47a 370 = -6 + 47a Solving 370 = -6 + 47a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47a' to each side of the equation. 370 + -47a = -6 + 47a + -47a Combine like terms: 47a + -47a = 0 370 + -47a = -6 + 0 370 + -47a = -6 Add '-370' to each side of the equation. 370 + -370 + -47a = -6 + -370 Combine like terms: 370 + -370 = 0 0 + -47a = -6 + -370 -47a = -6 + -370 Combine like terms: -6 + -370 = -376 -47a = -376 Divide each side by '-47'. a = 8 Simplifying a = 8
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