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Simplifying 10a + 7 = 8(2a + -4) + -9 Reorder the terms: 7 + 10a = 8(2a + -4) + -9 Reorder the terms: 7 + 10a = 8(-4 + 2a) + -9 7 + 10a = (-4 * 8 + 2a * 8) + -9 7 + 10a = (-32 + 16a) + -9 Reorder the terms: 7 + 10a = -32 + -9 + 16a Combine like terms: -32 + -9 = -41 7 + 10a = -41 + 16a Solving 7 + 10a = -41 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 7 + 10a + -16a = -41 + 16a + -16a Combine like terms: 10a + -16a = -6a 7 + -6a = -41 + 16a + -16a Combine like terms: 16a + -16a = 0 7 + -6a = -41 + 0 7 + -6a = -41 Add '-7' to each side of the equation. 7 + -7 + -6a = -41 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = -41 + -7 -6a = -41 + -7 Combine like terms: -41 + -7 = -48 -6a = -48 Divide each side by '-6'. a = 8 Simplifying a = 8
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