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Simplifying 4a + 10 = 7 + 6(a + -2) Reorder the terms: 10 + 4a = 7 + 6(a + -2) Reorder the terms: 10 + 4a = 7 + 6(-2 + a) 10 + 4a = 7 + (-2 * 6 + a * 6) 10 + 4a = 7 + (-12 + 6a) Combine like terms: 7 + -12 = -5 10 + 4a = -5 + 6a Solving 10 + 4a = -5 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 10 + 4a + -6a = -5 + 6a + -6a Combine like terms: 4a + -6a = -2a 10 + -2a = -5 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + -2a = -5 + 0 10 + -2a = -5 Add '-10' to each side of the equation. 10 + -10 + -2a = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = -5 + -10 -2a = -5 + -10 Combine like terms: -5 + -10 = -15 -2a = -15 Divide each side by '-2'. a = 7.5 Simplifying a = 7.5
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