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Simplifying -10 + -2a = 8(7a + 6) Reorder the terms: -10 + -2a = 8(6 + 7a) -10 + -2a = (6 * 8 + 7a * 8) -10 + -2a = (48 + 56a) Solving -10 + -2a = 48 + 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. -10 + -2a + -56a = 48 + 56a + -56a Combine like terms: -2a + -56a = -58a -10 + -58a = 48 + 56a + -56a Combine like terms: 56a + -56a = 0 -10 + -58a = 48 + 0 -10 + -58a = 48 Add '10' to each side of the equation. -10 + 10 + -58a = 48 + 10 Combine like terms: -10 + 10 = 0 0 + -58a = 48 + 10 -58a = 48 + 10 Combine like terms: 48 + 10 = 58 -58a = 58 Divide each side by '-58'. a = -1 Simplifying a = -1
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