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Simplifying -54 = 6(2 + 7a) + -2(5a + 7) -54 = (2 * 6 + 7a * 6) + -2(5a + 7) -54 = (12 + 42a) + -2(5a + 7) Reorder the terms: -54 = 12 + 42a + -2(7 + 5a) -54 = 12 + 42a + (7 * -2 + 5a * -2) -54 = 12 + 42a + (-14 + -10a) Reorder the terms: -54 = 12 + -14 + 42a + -10a Combine like terms: 12 + -14 = -2 -54 = -2 + 42a + -10a Combine like terms: 42a + -10a = 32a -54 = -2 + 32a Solving -54 = -2 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -54 + -32a = -2 + 32a + -32a Combine like terms: 32a + -32a = 0 -54 + -32a = -2 + 0 -54 + -32a = -2 Add '54' to each side of the equation. -54 + 54 + -32a = -2 + 54 Combine like terms: -54 + 54 = 0 0 + -32a = -2 + 54 -32a = -2 + 54 Combine like terms: -2 + 54 = 52 -32a = 52 Divide each side by '-32'. a = -1.625 Simplifying a = -1.625
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