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Simplifying 4(a + -3) + -7 = 6a + -21 Reorder the terms: 4(-3 + a) + -7 = 6a + -21 (-3 * 4 + a * 4) + -7 = 6a + -21 (-12 + 4a) + -7 = 6a + -21 Reorder the terms: -12 + -7 + 4a = 6a + -21 Combine like terms: -12 + -7 = -19 -19 + 4a = 6a + -21 Reorder the terms: -19 + 4a = -21 + 6a Solving -19 + 4a = -21 + 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. -19 + 4a + -6a = -21 + 6a + -6a Combine like terms: 4a + -6a = -2a -19 + -2a = -21 + 6a + -6a Combine like terms: 6a + -6a = 0 -19 + -2a = -21 + 0 -19 + -2a = -21 Add '19' to each side of the equation. -19 + 19 + -2a = -21 + 19 Combine like terms: -19 + 19 = 0 0 + -2a = -21 + 19 -2a = -21 + 19 Combine like terms: -21 + 19 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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