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Simplifying 6(a + -7) + 10 = 4(a + -7) Reorder the terms: 6(-7 + a) + 10 = 4(a + -7) (-7 * 6 + a * 6) + 10 = 4(a + -7) (-42 + 6a) + 10 = 4(a + -7) Reorder the terms: -42 + 10 + 6a = 4(a + -7) Combine like terms: -42 + 10 = -32 -32 + 6a = 4(a + -7) Reorder the terms: -32 + 6a = 4(-7 + a) -32 + 6a = (-7 * 4 + a * 4) -32 + 6a = (-28 + 4a) Solving -32 + 6a = -28 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -32 + 6a + -4a = -28 + 4a + -4a Combine like terms: 6a + -4a = 2a -32 + 2a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 -32 + 2a = -28 + 0 -32 + 2a = -28 Add '32' to each side of the equation. -32 + 32 + 2a = -28 + 32 Combine like terms: -32 + 32 = 0 0 + 2a = -28 + 32 2a = -28 + 32 Combine like terms: -28 + 32 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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