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Simplifying -160 = -5a + 6(7a + -2) Reorder the terms: -160 = -5a + 6(-2 + 7a) -160 = -5a + (-2 * 6 + 7a * 6) -160 = -5a + (-12 + 42a) Reorder the terms: -160 = -12 + -5a + 42a Combine like terms: -5a + 42a = 37a -160 = -12 + 37a Solving -160 = -12 + 37a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-37a' to each side of the equation. -160 + -37a = -12 + 37a + -37a Combine like terms: 37a + -37a = 0 -160 + -37a = -12 + 0 -160 + -37a = -12 Add '160' to each side of the equation. -160 + 160 + -37a = -12 + 160 Combine like terms: -160 + 160 = 0 0 + -37a = -12 + 160 -37a = -12 + 160 Combine like terms: -12 + 160 = 148 -37a = 148 Divide each side by '-37'. a = -4 Simplifying a = -4
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