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Simplifying 7(t + -3) + 5 = 4(3t + 3) + -9 Reorder the terms: 7(-3 + t) + 5 = 4(3t + 3) + -9 (-3 * 7 + t * 7) + 5 = 4(3t + 3) + -9 (-21 + 7t) + 5 = 4(3t + 3) + -9 Reorder the terms: -21 + 5 + 7t = 4(3t + 3) + -9 Combine like terms: -21 + 5 = -16 -16 + 7t = 4(3t + 3) + -9 Reorder the terms: -16 + 7t = 4(3 + 3t) + -9 -16 + 7t = (3 * 4 + 3t * 4) + -9 -16 + 7t = (12 + 12t) + -9 Reorder the terms: -16 + 7t = 12 + -9 + 12t Combine like terms: 12 + -9 = 3 -16 + 7t = 3 + 12t Solving -16 + 7t = 3 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -16 + 7t + -12t = 3 + 12t + -12t Combine like terms: 7t + -12t = -5t -16 + -5t = 3 + 12t + -12t Combine like terms: 12t + -12t = 0 -16 + -5t = 3 + 0 -16 + -5t = 3 Add '16' to each side of the equation. -16 + 16 + -5t = 3 + 16 Combine like terms: -16 + 16 = 0 0 + -5t = 3 + 16 -5t = 3 + 16 Combine like terms: 3 + 16 = 19 -5t = 19 Divide each side by '-5'. t = -3.8 Simplifying t = -3.8
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