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Simplifying 7(a + -6) + 10 = 3(a + -4) Reorder the terms: 7(-6 + a) + 10 = 3(a + -4) (-6 * 7 + a * 7) + 10 = 3(a + -4) (-42 + 7a) + 10 = 3(a + -4) Reorder the terms: -42 + 10 + 7a = 3(a + -4) Combine like terms: -42 + 10 = -32 -32 + 7a = 3(a + -4) Reorder the terms: -32 + 7a = 3(-4 + a) -32 + 7a = (-4 * 3 + a * 3) -32 + 7a = (-12 + 3a) Solving -32 + 7a = -12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -32 + 7a + -3a = -12 + 3a + -3a Combine like terms: 7a + -3a = 4a -32 + 4a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -32 + 4a = -12 + 0 -32 + 4a = -12 Add '32' to each side of the equation. -32 + 32 + 4a = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 4a = -12 + 32 4a = -12 + 32 Combine like terms: -12 + 32 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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