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Simplifying -70 = 4(a + 1) + -6(6a + 7) Reorder the terms: -70 = 4(1 + a) + -6(6a + 7) -70 = (1 * 4 + a * 4) + -6(6a + 7) -70 = (4 + 4a) + -6(6a + 7) Reorder the terms: -70 = 4 + 4a + -6(7 + 6a) -70 = 4 + 4a + (7 * -6 + 6a * -6) -70 = 4 + 4a + (-42 + -36a) Reorder the terms: -70 = 4 + -42 + 4a + -36a Combine like terms: 4 + -42 = -38 -70 = -38 + 4a + -36a Combine like terms: 4a + -36a = -32a -70 = -38 + -32a Solving -70 = -38 + -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. -70 + 32a = -38 + -32a + 32a Combine like terms: -32a + 32a = 0 -70 + 32a = -38 + 0 -70 + 32a = -38 Add '70' to each side of the equation. -70 + 70 + 32a = -38 + 70 Combine like terms: -70 + 70 = 0 0 + 32a = -38 + 70 32a = -38 + 70 Combine like terms: -38 + 70 = 32 32a = 32 Divide each side by '32'. a = 1 Simplifying a = 1
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