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Simplifying 6(a + -8) + 5 = 2a + -3 Reorder the terms: 6(-8 + a) + 5 = 2a + -3 (-8 * 6 + a * 6) + 5 = 2a + -3 (-48 + 6a) + 5 = 2a + -3 Reorder the terms: -48 + 5 + 6a = 2a + -3 Combine like terms: -48 + 5 = -43 -43 + 6a = 2a + -3 Reorder the terms: -43 + 6a = -3 + 2a Solving -43 + 6a = -3 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -43 + 6a + -2a = -3 + 2a + -2a Combine like terms: 6a + -2a = 4a -43 + 4a = -3 + 2a + -2a Combine like terms: 2a + -2a = 0 -43 + 4a = -3 + 0 -43 + 4a = -3 Add '43' to each side of the equation. -43 + 43 + 4a = -3 + 43 Combine like terms: -43 + 43 = 0 0 + 4a = -3 + 43 4a = -3 + 43 Combine like terms: -3 + 43 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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