1+29n+98n-62=-7(n+81)+60(n+59)

Solution for 1+29n+98n-62=-7(n+81)+60(n+59) equation:

Simplifying
1 + 29n + 98n + -62 = -7(n + 81) + 60(n + 59)

Reorder the terms:
1 + -62 + 29n + 98n = -7(n + 81) + 60(n + 59)

Combine like terms: 1 + -62 = -61
-61 + 29n + 98n = -7(n + 81) + 60(n + 59)

Combine like terms: 29n + 98n = 127n
-61 + 127n = -7(n + 81) + 60(n + 59)

Reorder the terms:
-61 + 127n = -7(81 + n) + 60(n + 59)
-61 + 127n = (81 * -7 + n * -7) + 60(n + 59)
-61 + 127n = (-567 + -7n) + 60(n + 59)

Reorder the terms:
-61 + 127n = -567 + -7n + 60(59 + n)
-61 + 127n = -567 + -7n + (59 * 60 + n * 60)
-61 + 127n = -567 + -7n + (3540 + 60n)

Reorder the terms:
-61 + 127n = -567 + 3540 + -7n + 60n

Combine like terms: -567 + 3540 = 2973
-61 + 127n = 2973 + -7n + 60n

Combine like terms: -7n + 60n = 53n
-61 + 127n = 2973 + 53n

Solving
-61 + 127n = 2973 + 53n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-53n' to each side of the equation.
-61 + 127n + -53n = 2973 + 53n + -53n

Combine like terms: 127n + -53n = 74n
-61 + 74n = 2973 + 53n + -53n

Combine like terms: 53n + -53n = 0
-61 + 74n = 2973 + 0
-61 + 74n = 2973

Add '61' to each side of the equation.
-61 + 61 + 74n = 2973 + 61

Combine like terms: -61 + 61 = 0
0 + 74n = 2973 + 61
74n = 2973 + 61

Combine like terms: 2973 + 61 = 3034
74n = 3034

Divide each side by '74'.
n = 41

Simplifying
n = 41